... functio n r(t)=-||x (t)||2, t Î [0, 1], where x(t) is a soluti on of (3.6), for the rest part of the proof we proceed as in the proof of Theorem 3.1.Corollary 3.2 Let f be a scalar-valued function ... ypxing-jason@hotmail.comDepartment of Mathematics,Shanghai Normal University,200234, People’s Republic of ChinaAbstractIn this work we present some new results concerning the existence of solutions for first-order ... book [1], Guo et al.’ s book [2] and references therein for details. For the recent developments involving existence of solutions to BVPs for integro-differential equations and impulsive integro-differential...